{ "cells": [ { "cell_type": "markdown", "metadata": { "_cell_guid": "83708667-4fdc-1563-7b3a-06b6575d2865" }, "source": [ "\n", "\n", "# Yield Curve Construction\n", "\n", "In this case study we use principal component analysis (PCA) to generate the typical movements of a yield curve " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Content" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* [1. Problem Definition](#0)\n", "* [2. Getting Started - Load Libraries and Dataset](#1)\n", " * [2.1. Load Libraries](#1.1) \n", " * [2.2. Load Dataset](#1.2)\n", "* [3. Exploratory Data Analysis](#2)\n", " * [3.1 Descriptive Statistics](#2.1) \n", " * [3.2. Data Visualisation](#2.2)\n", "* [4. Data Preparation](#3)\n", " * [4.1 Data Cleaning](#3.1)\n", " * [4.3.Data Transformation](#3.2) \n", "* [5.Evaluate Algorithms and Models](#4) \n", " * [5.1. Train Test Split](#4.1)\n", " * [5.2. Model Evaluation- Applying Principle Component Analysis](#4.2)\n", " * [5.2.1. Explained Variance using PCA](#4.2.1)\n", " * [5.2.2. Finding the Best Eigen Portfolio](#4.2.2)\n", " * [5.2.3. Backtesting Eigenportfolio](#4.2.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='0'></a>\n", "# 1. Problem Definition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our goal in this case study is to use dimensionality reduction techniques to generate\n", "the “typical” movements of a yield curve.\n", "The data used for this case study is obtained from Quandl. \n", "\n", "Quandl is a premier\n", "source for financial, economic and alternative datasets. We use the data of 11 tenors\n", "(from 1 month to 30 years) of the treasury curves. The frequency of the data is daily\n", "and the data is available from 1960 onwards\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='1'></a>\n", "# 2. Getting Started- Loading the data and python packages" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='1.1'></a>\n", "## 2.1. Loading the python packages" ] }, { "cell_type": "code", "execution_count": 156, "metadata": { "_cell_guid": "5d8fee34-f454-2642-8b06-ed719f0317e1" }, "outputs": [], "source": [ "# Load libraries\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from pandas import read_csv, set_option\n", "from pandas.plotting import scatter_matrix\n", "import seaborn as sns\n", "from sklearn.preprocessing import StandardScaler\n", "import quandl\n", "\n", "#Import Model Packages \n", "from sklearn.decomposition import PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='1.2'></a>\n", "## 2.2. Loading the Data" ] }, { "cell_type": "code", "execution_count": 157, "metadata": {}, "outputs": [], "source": [ "#The API Key can be optained from Quandl website by registering. \n", "quandl.ApiConfig.api_key = 'QUANDL_API_KEY'" ] }, { "cell_type": "code", "execution_count": 158, "metadata": {}, "outputs": [], "source": [ "treasury = ['FRED/DGS1MO',\n", " 'FRED/DGS3MO',\n", " 'FRED/DGS6MO',\n", " 'FRED/DGS1',\n", " 'FRED/DGS2',\n", " 'FRED/DGS3',\n", " 'FRED/DGS5',\n", " 'FRED/DGS7',\n", " 'FRED/DGS10',\n", " 'FRED/DGS20',\n", " 'FRED/DGS30']\n", "\n", "treasury_df = quandl.get(treasury)\n", "treasury_df.columns = ['TRESY1mo',\n", " 'TRESY3mo', \n", " 'TRESY6mo',\n", " 'TRESY1y',\n", " 'TRESY2y',\n", " 'TRESY3y',\n", " 'TRESY5y',\n", " 'TRESY7y',\n", " 'TRESY10y',\n", " 'TRESY20y',\n", " 'TRESY30y']" ] }, { "cell_type": "code", "execution_count": 159, "metadata": {}, "outputs": [], "source": [ "#Diable the warnings\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code", "execution_count": 160, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "pandas.core.frame.DataFrame" ] }, "execution_count": 160, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dataset = treasury_df\n", "type(dataset)" ] }, { "cell_type": "markdown", "metadata": { "_cell_guid": "df6a4523-b385-69ee-c933-592826d81431" }, "source": [ "<a id='2'></a>\n", "# 3. Exploratory Data Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='2.1'></a>\n", "## 3.1. Descriptive Statistics" ] }, { "cell_type": "code", "execution_count": 161, "metadata": { "_cell_guid": "52f85dc2-0f91-3c50-400e-ddc38bea966b" }, "outputs": [ { "data": { "text/plain": [ "(14420, 11)" ] }, "execution_count": 161, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# shape\n", "dataset.shape" ] }, { "cell_type": "code", "execution_count": 162, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>TRESY1mo</th>\n", " <th>TRESY3mo</th>\n", " <th>TRESY6mo</th>\n", " <th>TRESY1y</th>\n", " <th>TRESY2y</th>\n", " <th>TRESY3y</th>\n", " <th>TRESY5y</th>\n", " <th>TRESY7y</th>\n", " <th>TRESY10y</th>\n", " <th>TRESY20y</th>\n", " <th>TRESY30y</th>\n", " </tr>\n", " <tr>\n", " <th>Date</th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>2019-09-20</th>\n", " <td>1.95</td>\n", " <td>1.91</td>\n", " <td>1.91</td>\n", " <td>1.84</td>\n", " <td>1.69</td>\n", " <td>1.63</td>\n", " <td>1.61</td>\n", " <td>1.68</td>\n", " <td>1.74</td>\n", " <td>1.99</td>\n", " <td>2.17</td>\n", " </tr>\n", " <tr>\n", " <th>2019-09-23</th>\n", " <td>1.94</td>\n", " <td>1.94</td>\n", " <td>1.93</td>\n", " <td>1.81</td>\n", " <td>1.68</td>\n", " <td>1.61</td>\n", " <td>1.59</td>\n", " <td>1.65</td>\n", " <td>1.72</td>\n", " <td>1.98</td>\n", " <td>2.16</td>\n", " </tr>\n", " <tr>\n", " <th>2019-09-24</th>\n", " <td>1.90</td>\n", " <td>1.92</td>\n", " <td>1.91</td>\n", " <td>1.78</td>\n", " <td>1.60</td>\n", " <td>1.53</td>\n", " <td>1.52</td>\n", " <td>1.58</td>\n", " <td>1.64</td>\n", " <td>1.91</td>\n", " <td>2.09</td>\n", " </tr>\n", " <tr>\n", " <th>2019-09-25</th>\n", " <td>1.80</td>\n", " <td>1.89</td>\n", " <td>1.90</td>\n", " <td>1.82</td>\n", " <td>1.68</td>\n", " <td>1.61</td>\n", " <td>1.60</td>\n", " <td>1.66</td>\n", " <td>1.73</td>\n", " <td>1.99</td>\n", " <td>2.18</td>\n", " </tr>\n", " <tr>\n", " <th>2019-09-26</th>\n", " <td>1.91</td>\n", " <td>1.83</td>\n", " <td>1.88</td>\n", " <td>1.79</td>\n", " <td>1.66</td>\n", " <td>1.61</td>\n", " <td>1.59</td>\n", " <td>1.65</td>\n", " <td>1.70</td>\n", " <td>1.96</td>\n", " <td>2.15</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " TRESY1mo TRESY3mo TRESY6mo TRESY1y TRESY2y TRESY3y TRESY5y TRESY7y TRESY10y \\\n", "Date \n", "2019-09-20 1.95 1.91 1.91 1.84 1.69 1.63 1.61 1.68 1.74 \n", "2019-09-23 1.94 1.94 1.93 1.81 1.68 1.61 1.59 1.65 1.72 \n", "2019-09-24 1.90 1.92 1.91 1.78 1.60 1.53 1.52 1.58 1.64 \n", "2019-09-25 1.80 1.89 1.90 1.82 1.68 1.61 1.60 1.66 1.73 \n", "2019-09-26 1.91 1.83 1.88 1.79 1.66 1.61 1.59 1.65 1.70 \n", "\n", " TRESY20y TRESY30y \n", "Date \n", "2019-09-20 1.99 2.17 \n", "2019-09-23 1.98 2.16 \n", "2019-09-24 1.91 2.09 \n", "2019-09-25 1.99 2.18 \n", "2019-09-26 1.96 2.15 " ] }, "execution_count": 162, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# peek at data\n", "set_option('display.width', 100)\n", "dataset.tail(5)" ] }, { "cell_type": "code", "execution_count": 163, "metadata": { "_cell_guid": "f36dd804-0c16-f0c9-05c9-d22b85a79e75" }, "outputs": [ { "data": { "text/plain": [ "TRESY1mo float64\n", "TRESY3mo float64\n", "TRESY6mo float64\n", "TRESY1y float64\n", "TRESY2y float64\n", "TRESY3y float64\n", "TRESY5y float64\n", "TRESY7y float64\n", "TRESY10y float64\n", "TRESY20y float64\n", "TRESY30y float64\n", "dtype: object" ] }, "execution_count": 163, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# types\n", "set_option('display.max_rows', 500)\n", "dataset.dtypes" ] }, { "cell_type": "code", "execution_count": 164, "metadata": { "_cell_guid": "7bffeec0-5bbc-fffb-18f2-3da56b862ca3" }, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>TRESY1mo</th>\n", " <th>TRESY3mo</th>\n", " <th>TRESY6mo</th>\n", " <th>TRESY1y</th>\n", " <th>TRESY2y</th>\n", " <th>TRESY3y</th>\n", " <th>TRESY5y</th>\n", " <th>TRESY7y</th>\n", " <th>TRESY10y</th>\n", " <th>TRESY20y</th>\n", " <th>TRESY30y</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>count</th>\n", " <td>4542.000</td>\n", " <td>9437.000</td>\n", " <td>9437.000</td>\n", " <td>14420.000</td>\n", " <td>10828.000</td>\n", " <td>14420.000</td>\n", " <td>14420.000</td>\n", " <td>12550.000</td>\n", " <td>14420.000</td>\n", " <td>6502.000</td>\n", " <td>9656.000</td>\n", " </tr>\n", " <tr>\n", " <th>mean</th>\n", " <td>1.293</td>\n", " <td>3.919</td>\n", " <td>4.102</td>\n", " <td>5.113</td>\n", " <td>5.297</td>\n", " <td>5.533</td>\n", " <td>5.799</td>\n", " <td>6.194</td>\n", " <td>6.136</td>\n", " <td>4.634</td>\n", " <td>6.756</td>\n", " </tr>\n", " <tr>\n", " <th>std</th>\n", " <td>1.496</td>\n", " <td>3.121</td>\n", " <td>3.222</td>\n", " <td>3.397</td>\n", " <td>3.757</td>\n", " <td>3.260</td>\n", " <td>3.113</td>\n", " <td>3.157</td>\n", " <td>2.891</td>\n", " <td>1.588</td>\n", " <td>3.036</td>\n", " </tr>\n", " <tr>\n", " <th>min</th>\n", " <td>0.000</td>\n", " <td>0.000</td>\n", " <td>0.020</td>\n", " <td>0.080</td>\n", " <td>0.160</td>\n", " <td>0.280</td>\n", " <td>0.560</td>\n", " <td>0.910</td>\n", " <td>1.370</td>\n", " <td>1.690</td>\n", " <td>1.940</td>\n", " </tr>\n", " <tr>\n", " <th>25%</th>\n", " <td>0.060</td>\n", " <td>0.960</td>\n", " <td>1.060</td>\n", " <td>2.570</td>\n", " <td>1.860</td>\n", " <td>3.270</td>\n", " <td>3.630</td>\n", " <td>3.610</td>\n", " <td>4.070</td>\n", " <td>3.020</td>\n", " <td>4.260</td>\n", " </tr>\n", " <tr>\n", " <th>50%</th>\n", " <td>0.880</td>\n", " <td>3.970</td>\n", " <td>4.210</td>\n", " <td>5.130</td>\n", " <td>5.200</td>\n", " <td>5.530</td>\n", " <td>5.710</td>\n", " <td>6.240</td>\n", " <td>5.890</td>\n", " <td>4.740</td>\n", " <td>6.560</td>\n", " </tr>\n", " <tr>\n", " <th>75%</th>\n", " <td>1.990</td>\n", " <td>5.830</td>\n", " <td>6.100</td>\n", " <td>7.000</td>\n", " <td>7.680</td>\n", " <td>7.410</td>\n", " <td>7.640</td>\n", " <td>7.960</td>\n", " <td>7.790</td>\n", " <td>5.880</td>\n", " <td>8.610</td>\n", " </tr>\n", " <tr>\n", " <th>max</th>\n", " <td>5.270</td>\n", " <td>15.490</td>\n", " <td>15.670</td>\n", " <td>17.310</td>\n", " <td>16.950</td>\n", " <td>16.590</td>\n", " <td>16.270</td>\n", " <td>16.050</td>\n", " <td>15.840</td>\n", " <td>8.300</td>\n", " <td>15.210</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " TRESY1mo TRESY3mo TRESY6mo TRESY1y TRESY2y TRESY3y TRESY5y TRESY7y \\\n", "count 4542.000 9437.000 9437.000 14420.000 10828.000 14420.000 14420.000 12550.000 \n", "mean 1.293 3.919 4.102 5.113 5.297 5.533 5.799 6.194 \n", "std 1.496 3.121 3.222 3.397 3.757 3.260 3.113 3.157 \n", "min 0.000 0.000 0.020 0.080 0.160 0.280 0.560 0.910 \n", "25% 0.060 0.960 1.060 2.570 1.860 3.270 3.630 3.610 \n", "50% 0.880 3.970 4.210 5.130 5.200 5.530 5.710 6.240 \n", "75% 1.990 5.830 6.100 7.000 7.680 7.410 7.640 7.960 \n", "max 5.270 15.490 15.670 17.310 16.950 16.590 16.270 16.050 \n", "\n", " TRESY10y TRESY20y TRESY30y \n", "count 14420.000 6502.000 9656.000 \n", "mean 6.136 4.634 6.756 \n", "std 2.891 1.588 3.036 \n", "min 1.370 1.690 1.940 \n", "25% 4.070 3.020 4.260 \n", "50% 5.890 4.740 6.560 \n", "75% 7.790 5.880 8.610 \n", "max 15.840 8.300 15.210 " ] }, "execution_count": 164, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# describe data\n", "set_option('precision', 3)\n", "dataset.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='2.2'></a>\n", "## 3.2. Data Visualization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us look at the movement of the yield curve. " ] }, { "cell_type": "code", "execution_count": 165, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dataset.plot(figsize=(10,5))\n", "plt.ylabel(\"Rate\")\n", "plt.legend(bbox_to_anchor=(1.01, 0.9), loc=2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next step we look at the correlation." ] }, { "cell_type": "code", "execution_count": 166, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<matplotlib.axes._subplots.AxesSubplot at 0x14d8a23d278>" ] }, "execution_count": 166, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x1080 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# correlation\n", "correlation = dataset.corr()\n", "plt.figure(figsize=(15,15))\n", "plt.title('Correlation Matrix')\n", "sns.heatmap(correlation, vmax=1, square=True,annot=True,cmap='cubehelix')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As it can be seen by the picture above there is a significant positive correlation between the stocks. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='3'></a>\n", "## 4. Data Preparation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='3.1'></a>\n", "## 4.1. Data Cleaning\n", "We check for the NAs in the data, either drop them or\n", "fill them with the mean of the column and the steps are same as mentioned in previ‐\n", "ous case studies." ] }, { "cell_type": "code", "execution_count": 167, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Null Values = True\n" ] } ], "source": [ "#Checking for any null values and removing the null values'''\n", "print('Null Values =',dataset.isnull().values.any())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given that there are null values drop the rown contianing the null values." ] }, { "cell_type": "code", "execution_count": 168, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>TRESY1mo</th>\n", " <th>TRESY3mo</th>\n", " <th>TRESY6mo</th>\n", " <th>TRESY1y</th>\n", " <th>TRESY2y</th>\n", " <th>TRESY3y</th>\n", " <th>TRESY5y</th>\n", " <th>TRESY7y</th>\n", " <th>TRESY10y</th>\n", " <th>TRESY20y</th>\n", " <th>TRESY30y</th>\n", " </tr>\n", " <tr>\n", " <th>Date</th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>2001-07-31</th>\n", " <td>3.67</td>\n", " <td>3.54</td>\n", " <td>3.47</td>\n", " <td>3.53</td>\n", " <td>3.79</td>\n", " <td>4.06</td>\n", " <td>4.57</td>\n", " <td>4.86</td>\n", " <td>5.07</td>\n", " <td>5.61</td>\n", " <td>5.51</td>\n", " </tr>\n", " <tr>\n", " <th>2001-08-01</th>\n", " <td>3.65</td>\n", " <td>3.53</td>\n", " <td>3.47</td>\n", " <td>3.56</td>\n", " <td>3.83</td>\n", " <td>4.09</td>\n", " <td>4.62</td>\n", " <td>4.90</td>\n", " <td>5.11</td>\n", " <td>5.63</td>\n", " <td>5.53</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " TRESY1mo TRESY3mo TRESY6mo TRESY1y TRESY2y TRESY3y TRESY5y TRESY7y TRESY10y \\\n", "Date \n", "2001-07-31 3.67 3.54 3.47 3.53 3.79 4.06 4.57 4.86 5.07 \n", "2001-08-01 3.65 3.53 3.47 3.56 3.83 4.09 4.62 4.90 5.11 \n", "\n", " TRESY20y TRESY30y \n", "Date \n", "2001-07-31 5.61 5.51 \n", "2001-08-01 5.63 5.53 " ] }, "execution_count": 168, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Fill the missing values with the last value available in the dataset. \n", "dataset=dataset.fillna(method='ffill')\n", "\n", "# Drop the rows containing NA\n", "dataset= dataset.dropna(axis=0)\n", "# Fill na with 0\n", "#dataset.fillna('0')\n", "\n", "dataset.head(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='3.2'></a>\n", "## 4.2. Data Transformation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All the variables should be on the same scale before applying PCA, otherwise a feature with large values will dominate the result. We use StandardScaler in sklearn to standardize the dataset’s features onto unit scale (mean = 0 and variance = 1)." ] }, { "cell_type": "code", "execution_count": 169, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>TRESY1mo</th>\n", " <th>TRESY3mo</th>\n", " <th>TRESY6mo</th>\n", " <th>TRESY1y</th>\n", " <th>TRESY2y</th>\n", " <th>TRESY3y</th>\n", " <th>TRESY5y</th>\n", " <th>TRESY7y</th>\n", " <th>TRESY10y</th>\n", " <th>TRESY20y</th>\n", " <th>TRESY30y</th>\n", " </tr>\n", " <tr>\n", " <th>Date</th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>2001-07-31</th>\n", " <td>1.590</td>\n", " <td>1.443</td>\n", " <td>1.297</td>\n", " <td>1.294</td>\n", " <td>1.380</td>\n", " <td>1.474</td>\n", " <td>1.647</td>\n", " <td>1.705</td>\n", " <td>1.697</td>\n", " <td>1.612</td>\n", " <td>1.405</td>\n", " </tr>\n", " <tr>\n", " <th>2001-08-01</th>\n", " <td>1.576</td>\n", " <td>1.436</td>\n", " <td>1.297</td>\n", " <td>1.313</td>\n", " <td>1.408</td>\n", " <td>1.496</td>\n", " <td>1.688</td>\n", " <td>1.740</td>\n", " <td>1.734</td>\n", " <td>1.630</td>\n", " <td>1.424</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " TRESY1mo TRESY3mo TRESY6mo TRESY1y TRESY2y TRESY3y TRESY5y TRESY7y TRESY10y \\\n", "Date \n", "2001-07-31 1.590 1.443 1.297 1.294 1.380 1.474 1.647 1.705 1.697 \n", "2001-08-01 1.576 1.436 1.297 1.313 1.408 1.496 1.688 1.740 1.734 \n", "\n", " TRESY20y TRESY30y \n", "Date \n", "2001-07-31 1.612 1.405 \n", "2001-08-01 1.630 1.424 " ] }, "execution_count": 169, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.preprocessing import StandardScaler\n", "scaler = StandardScaler().fit(dataset)\n", "rescaledDataset = pd.DataFrame(scaler.fit_transform(dataset),columns = dataset.columns, index = dataset.index)\n", "# summarize transformed data\n", "dataset.dropna(how='any', inplace=True)\n", "rescaledDataset.dropna(how='any', inplace=True)\n", "rescaledDataset.head(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Visualising the standardised dataset__" ] }, { "cell_type": "code", "execution_count": 204, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1008x720 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "rescaledDataset.plot(figsize=(14,10))\n", "plt.ylabel(\"Rate\")\n", "plt.legend(bbox_to_anchor=(1.01, 0.9), loc=2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='4'></a>\n", "# 5. Evaluate Algorithms and Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='4.2'></a>\n", "## 5.2. Model Evaluation- Applying Principle Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As the next step We create a function to compute Principle Component Analysis from Sklearn. This function computes an inversed elbow chart that shows the amount of principle components and how many of them explain the variance treshold." ] }, { "cell_type": "code", "execution_count": 171, "metadata": {}, "outputs": [], "source": [ "pca = PCA()\n", "PrincipalComponent=pca.fit(rescaledDataset)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='4.2.1'></a>\n", "## 5.2.1.Explained Variance using PCA" ] }, { "cell_type": "code", "execution_count": 172, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<style type=\"text/css\" >\n", "</style><table id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcd\" ><thead> <tr> <th class=\"blank level0\" ></th> <th class=\"col_heading level0 col0\" >Explained Variance_Top 5</th> </tr></thead><tbody>\n", " <tr>\n", " <th id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcdlevel0_row0\" class=\"row_heading level0 row0\" >0</th>\n", " <td id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcdrow0_col0\" class=\"data row0 col0\" >84.36%</td>\n", " </tr>\n", " <tr>\n", " <th id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcdlevel0_row1\" class=\"row_heading level0 row1\" >1</th>\n", " <td id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcdrow1_col0\" class=\"data row1 col0\" >98.44%</td>\n", " </tr>\n", " <tr>\n", " <th id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcdlevel0_row2\" class=\"row_heading level0 row2\" >2</th>\n", " <td id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcdrow2_col0\" class=\"data row2 col0\" >99.53%</td>\n", " </tr>\n", " <tr>\n", " <th id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcdlevel0_row3\" class=\"row_heading level0 row3\" >3</th>\n", " <td id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcdrow3_col0\" class=\"data row3 col0\" >99.83%</td>\n", " </tr>\n", " <tr>\n", " <th id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcdlevel0_row4\" class=\"row_heading level0 row4\" >4</th>\n", " <td id=\"T_474f72cc_e300_11e9_9df2_d52b9465dfcdrow4_col0\" class=\"data row4 col0\" >99.94%</td>\n", " </tr>\n", " </tbody></table>" ], "text/plain": [ "<pandas.io.formats.style.Styler at 0x14d8f8e0898>" ] }, "execution_count": 172, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1008x288 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "NumEigenvalues=5\n", "fig, axes = plt.subplots(ncols=2, figsize=(14,4))\n", "pd.Series(pca.explained_variance_ratio_[:NumEigenvalues]).sort_values().plot.barh(title='Explained Variance Ratio by Top Factors',ax=axes[0]);\n", "pd.Series(pca.explained_variance_ratio_[:NumEigenvalues]).cumsum().plot(ylim=(0,1),ax=axes[1], title='Cumulative Explained Variance');\n", "\n", "# explained_variance\n", "pd.Series(np.cumsum(pca.explained_variance_ratio_)).to_frame('Explained Variance_Top 5').head(NumEigenvalues).style.format('{:,.2%}'.format)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed, the first principal component accounts for 84.4% of variance, with the second principal component getting 98.44% and the third 99.53%. The first 3 principal components account for, cumulatively, 99.5% of all movements in the data. Hence, in terms of dimensionality reduction, the first 3 principal components are representative of the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='4.2.2'></a>\n", "## 5.2.2. Intuition Behind the Principal Components" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We\n", "first have a function to determine the weights of each principal component. We then\n", "perform the visualization of the principal components." ] }, { "cell_type": "code", "execution_count": 173, "metadata": {}, "outputs": [], "source": [ "def PCWeights():\n", " '''\n", " Principal Components (PC) weights for each 28 PCs\n", " '''\n", " weights = pd.DataFrame()\n", "\n", " for i in range(len(pca.components_)):\n", " weights[\"weights_{}\".format(i)] = pca.components_[i] / sum(pca.components_[i])\n", "\n", " weights = weights.values.T\n", " return weights\n", "\n", "weights=PCWeights()" ] }, { "cell_type": "code", "execution_count": 174, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1008x720 with 3 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "weights = PCWeights()\n", "NumComponents=3 \n", " \n", "topPortfolios = pd.DataFrame(weights[:NumComponents], columns=dataset.columns)\n", "topPortfolios.index = [f'Principal Component {i}' for i in range(1, NumComponents+1)]\n", "\n", "axes = topPortfolios.T.plot.bar(subplots=True, legend=False,figsize=(14,10))\n", "plt.subplots_adjust(hspace=0.35)\n", "axes[0].set_ylim(0, .2);" ] }, { "cell_type": "code", "execution_count": 175, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(pca.components_[0:3].T)\n", "plt.xlabel(\"Principal Component\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the the interpretation of the first three principal components, they correspond to:\n", "\n", "__Principal Component 1__: Directional movements in the yield curve. These are movements that shift the entire yield curve up or down.\n", "\n", "__Principal Component 2__: Slope movements in the yield curve. These are movements that steepen or flatten (change the first derivative wrt maturity) the entire yield curve.\n", "\n", "__Principal Component 3__: Curvature movements in the yield curve. These are movements that change the curvature (or the second derivative wrt maturity) of the entire yield curve." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='4.2.3'></a>\n", "## 5.2.3. Reconstructing the curve using Principal Components" ] }, { "cell_type": "code", "execution_count": 190, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 4.97514826, -0.48514999],\n", " [ 5.03634891, -0.52005102],\n", " [ 5.14497849, -0.58385444],\n", " ...,\n", " [-1.82544584, 2.82360062],\n", " [-1.69938513, 2.6936174 ],\n", " [-1.73186029, 2.73073137]])" ] }, "execution_count": 190, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.transform(rescaledDataset)[:,:2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the simple matrix reconstruction, we can generate an approximation/almost exact replica of the initial data.\n", "\n", "Mechanically PCA is just a matrix multiplication:\n", "\n", "Y=XW,\n", "\n", "where Y is your principal components, X is input data, and W is a matrix of coefficients.\n", "\n", "\n", "The only trick here is that your matrix of coefficients is quite special: you can use it to recover the original matrix.\n", "\n", "X=YW′," ] }, { "cell_type": "code", "execution_count": 229, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x576 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "nComp=3\n", "reconst= pd.DataFrame(np.dot(pca.transform(rescaledDataset)[:,:nComp], pca.components_[:nComp,:]),columns=dataset.columns)\n", "plt.figure(figsize=(10,8))\n", "plt.plot(reconst)\n", "plt.ylabel(\"Treasury Rate\")\n", "plt.title(\"Reconstructed Dataset\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Figure above shows the replicated treasury rate chart." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Conclusion__\n", "\n", "We demonstrated the efficiency of dimensionality reduction and principal components analysis in reducing the number of dimension and coming up with new intuitive feature.\n", "\n", "\n", "The first\n", "three principal components explain more than 99.5% of the variation and represent\n", "directional movements, slope movements, and curvature movements respectively.\n", "Overall, by using principal component analysis, analyzing the eigen vectors and\n", "understanding the intuition behind them, we demonstrated how the implementation\n", "of a dimensionality reduction lead to fewer intuitive dimensions in the yield curve.\n" ] } ], "metadata": { "_change_revision": 206, "_is_fork": false, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }